Elements of Plane Geometry, Μέρος 1Harper & Brothers, 1878 - 132 σελίδες |
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Σελίδα v
... greater portion of it was prepared while engaged in teaching the subject , and while all the difficulties of presenting it in a practical manner were fresh in the author's mind . Several friends - them- selves superior instructors ...
... greater portion of it was prepared while engaged in teaching the subject , and while all the difficulties of presenting it in a practical manner were fresh in the author's mind . Several friends - them- selves superior instructors ...
Σελίδα 12
... greater than B. 3. The sign of Addition is an erect cross ; thus , A + B is read A plus B , and means that B is added to A. 4. The sign of Subtraction is a horizontal line ; thus , A - B is read A minus B , and means that B is to be ...
... greater than B. 3. The sign of Addition is an erect cross ; thus , A + B is read A plus B , and means that B is added to A. 4. The sign of Subtraction is a horizontal line ; thus , A - B is read A minus B , and means that B is to be ...
Σελίδα 14
... greater than a right angle . 13. A Plane Figure is a portion of a surface bounded by straight or curved lines . 14. The area of a figure is the quantity of space con- tained in it . D 15. A Circle is a plane figure bound- ed by a curved ...
... greater than a right angle . 13. A Plane Figure is a portion of a surface bounded by straight or curved lines . 14. The area of a figure is the quantity of space con- tained in it . D 15. A Circle is a plane figure bound- ed by a curved ...
Σελίδα 17
... greater than any one of its parts . 10. Things which coincide , or fill the same space , are identical and equal in all their parts . 11. All right angles are equal . 12. Two straight lines which intersect each other can not both be ...
... greater than any one of its parts . 10. Things which coincide , or fill the same space , are identical and equal in all their parts . 11. All right angles are equal . 12. Two straight lines which intersect each other can not both be ...
Σελίδα 21
... greater of two given straight lines to cut off a part equal to the less . Let AB and D be two given straight lines , of which AB is the greater ; it is required to cut off from AB a part which shall be equal to D. From the point A draw ...
... greater of two given straight lines to cut off a part equal to the less . Let AB and D be two given straight lines , of which AB is the greater ; it is required to cut off from AB a part which shall be equal to D. From the point A draw ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC and BD AC and CB AC is equal ACEH adjacent angle allel alternate angles altitude angle ABC angle ACB angle BAC angle equal base centre chord circumference diagonal diameter draw equal angles equal const equal Prop equal to DF equiangular equilateral triangle exterior angle feet Find the area Geometry given line given point gles greater half the arc Hence the triangles hypothenuse included angle inscribed interior and opposite isosceles triangle Join the points Let ABC lines AC measured by half opposite angle parallelogram perpendicular point F polygon proportional PROPOSITION Prove quadrilateral radius rectangle rectangle contained Required the area rhombus right angles Prop right-angled triangle Scholium secant secant line segment side AC similar six right square tangent TEST EXAMPLES three sides trapezium triangle ABC
Δημοφιλή αποσπάσματα
Σελίδα 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 26 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
Σελίδα 46 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 45 - If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles.
Σελίδα 63 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let...
Σελίδα 64 - If a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the rectangle contained by the parts.
Σελίδα 114 - If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment.
Σελίδα 57 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Σελίδα 57 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Σελίδα 69 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.